| Base | Representation |
|---|---|
| bin | 1001100010101100… |
| … | …1010111110110000 |
| 3 | 20121111211100022200 |
| 4 | 2120223022332300 |
| 5 | 20221213012000 |
| 6 | 1102100503200 |
| 7 | 120321666630 |
| oct | 23053127660 |
| 9 | 6544740280 |
| 10 | 2561454000 |
| 11 | 10a4968336 |
| 12 | 5b59aab00 |
| 13 | 31a898171 |
| 14 | 1a428a6c0 |
| 15 | eed19500 |
| hex | 98acafb0 |
2561454000 has 480 divisors, whose sum is σ = 10592000640. Its totient is φ = 564480000.
The previous prime is 2561453981. The next prime is 2561454001. The reversal of 2561454000 is 4541652.
2561454000 is a `hidden beast` number, since 2 + 5 + 614 + 5 + 40 + 0 + 0 = 666.
2561454000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×25614540002 = 13122093188232000000, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (2561454001) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3653650 + ... + 3654350.
It is an arithmetic number, because the mean of its divisors is an integer number (22066668).
Almost surely, 22561454000 is an apocalyptic number.
2561454000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2561454000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5296000320).
2561454000 is an abundant number, since it is smaller than the sum of its proper divisors (8030546640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2561454000 is a wasteful number, since it uses less digits than its factorization.
2561454000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 766 (or 747 counting only the distinct ones).
The product of its (nonzero) digits is 4800, while the sum is 27.
The square root of 2561454000 is about 50610.8091221628. The cubic root of 2561454000 is about 1368.2396984310.
Adding to 2561454000 its reverse (4541652), we get a palindrome (2565995652).
The spelling of 2561454000 in words is "two billion, five hundred sixty-one million, four hundred fifty-four thousand".
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